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 Sep24 awarded Autobiographer Nov20 awarded Citizen Patrol Nov20 awarded Yearling Nov20 awarded Commentator Nov20 comment Why the method of separation of variables works? @ChrisWhite There are theoretical and mathematical physicists here who might know the answer to my question and who might not be following math stackexchange regularly. I want to maximize my chances to get an answer so I posted my question here and there. Sorry for offending anybody. Nov20 revised Why separation of variables works in PDEs? added 246 characters in body Nov20 asked Why separation of variables works in PDEs? Nov20 asked Why the method of separation of variables works? Jul14 accepted A little integration paradox Jul14 comment A little integration paradox Interesting. I do not remember that is written in my calculus books, not even a warning :( Jul14 comment A little integration paradox Yeah got it thanks. So the antiderivative must be continuous across the domain of integration to be able to substitute with the integral limits, right? Jul14 asked A little integration paradox Jan3 comment Where is the flaw in evaluating the following integral? Excellent explanation, thank you so much. I am wondering why such subtleties are not taught in calculus courses? Do you know any book that cover similar subtleties? Jan3 awarded Supporter Jan3 awarded Scholar Jan3 accepted Where is the flaw in evaluating the following integral? Jan3 comment Where is the flaw in evaluating the following integral? @cardinal Please point out where it was used incorrectly as this is exactly my question. Jan3 comment Where is the flaw in evaluating the following integral? @J.M. $dy=\cos\theta d\theta$ where $\cos\theta=\sqrt{1-y^2}$ Jan3 awarded Editor Jan3 revised Where is the flaw in evaluating the following integral? added 4 characters in body